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You wish to borrow $8000 for debt consolidation. The bank's interest rate for a personal loan is 7.2%. What is your monthly payment if you want to pay off the loan in 3 years?

Answer :

The monthly payment  is $242.44 for loan to paid off in 3 years.

Step-by-step explanation:

The amount borrowed = Principal = $8000

The rate of interest = 7.2%

Time (T)  = 3 years

Now, Simple Interest = [tex]\frac{P\times R \times T}{100}[/tex]

[tex]\implies SI = \frac{8000 \times 7.2 \times 3}{100} = 1,728[/tex]

So, the total interest = $1728

Now, Amount to be paid  = Principal + Interest

⇒ A = $8000 + $1728  = $8728

Also, 1 year = 12 months

⇒  3 years  = 3 x 12 months  = 36 months

So, total amount to be paid in 36 months is $8728.

The  amount to be paid in 1 month is [tex](\frac{8728}{36} ) = 242.44[/tex]

Hence, the monthly payment  is $242.44 if loan is to paid off in 3 years.

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